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Search: id:A141658
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| A141658 |
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A triangle of coefficients representing an Integer Irrational rotation of the primes: t(n,m)=Floor[Re[Exp[I*2*Pi*Mod[m*2*Pi, 1]/(n + 2)]*Prime[n + 1]]]. ( Correction with right numbers). |
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+0
1
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| 2, 3, 2, 5, 4, 3, 7, 6, 5, 3, 11, 10, 9, 6, 10, 13, 12, 11, 9, 12, 12, 17, 16, 15, 13, 16, 16, 14, 19, 18, 17, 15, 18, 18, 16, 14, 23, 22, 21, 19, 22, 22, 20, 18, 22, 29, 28, 27, 25, 28, 28, 26, 24, 28, 27, 31, 30, 29, 27, 30, 30, 28, 26, 30, 29, 28
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Row sums are:
{2, 5, 12, 21, 46, 69, 107, 135, 189, 270, 318}.
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FORMULA
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t(n,m)=Floor[Re[Exp[I*2*Pi*Mod[m*2*Pi, 1]/(n + 2)]*Prime[n + 1]]].
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EXAMPLE
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{2},
{3, 2},
{5, 4, 3},
{7, 6, 5, 3},
{11, 10, 9, 6, 10},
{13, 12, 11, 9, 12, 12},
{17, 16, 15, 13, 16, 16, 14},
{19, 18, 17, 15, 18, 18, 16, 14},
{23, 22, 21, 19, 22, 22, 20, 18, 22},
{29, 28, 27, 25, 28, 28, 26, 24, 28, 27},
{31, 30, 29, 27, 30, 30, 28, 26, 30, 29, 28}
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MATHEMATICA
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Clear[T, n, m]; T[n_, m_] = Floor[Cyclotomic[Prime[n + 1], m/(n + 2)]*Prime[n + 1]]; Table[Flatten[Table[If[PrimeQ[T[n, m]], T[n, m], {}], {m, 0, n}]], {n, 0, 10}]; Flatten[%]
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CROSSREFS
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Cf. A141529.
Sequence in context: A011153 A132226 A075861 this_sequence A089587 A067316 A127433
Adjacent sequences: A141655 A141656 A141657 this_sequence A141659 A141660 A141661
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KEYWORD
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nonn,uned
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Sep 04 2008
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